(x-1/x+1 - x+1/x-3 )除 2/x²+2x+1

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(x-1/x+1 - x+1/x-3 )除 2/x²+2x+1

(x-1/x+1 - x+1/x-3 )除 2/x²+2x+1
(x-1/x+1 - x+1/x-3 )除 2/x²+2x+1

(x-1/x+1 - x+1/x-3 )除 2/x²+2x+1
[(x-1)/(x+1) - (x+1)/(x-3)]÷ 2/(x²+2x+1)
=[(x-1)(x-3)-(x+1)²]/[(x+1)(x-3)]乘(x+1)²/2
=(x²-4x+3-x²-2x-1)/[(x+1)(x-3)]乘(x+1)²/2
=(-6x+2)/[(x+1)(x-3)]乘(x+1)²/2
=-2(3x-1)/[(x+1)(x-3)]乘(x+1)²/2
=-(3x-1)(x+1)/(x-3)